Please help will be marked as brainliest if correct

Answer:

x = 3

Step-by-step explanation:

Let the altitude from B to AC intersect at point D.  Then BD is a height of the triangle with base AC

ΔABD is a 30-60-90 triangle since m∠A = 30

Therefore, AB = 2(BD)  or BD = AB/2 = (x+3)/2

Area of the triangle = bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)

= x(x + 3) = 18

\(x^{2} + 3x = 18\)

\(x^{2} + 3x - 18 = 0\)

(x + 6)(x - 3) = 0

x = -6  or x = 3

x cannot equal -6, so x = 3

In this exercise we have to use the knowledge of triangle to calculate the value of X, in this way we find that:

\(X=3\)

In this way, we can write the treated area of ​​the triangle as:

\(bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)\\=x(x + 3) = 18\\x^2+3x=18\\x^2+3x-18=0\\(x+6)(x-3)=0\\x=-6 \ or \ x=3\)

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Answer:

Multiply 5/2 to both sides

Step-by-step explanation:

Doing so 'cancels' out the coefficient of (z+1) on the left-hand side.

The perimeter of the rhombus is 4√117 feet.

What is rhombus?

A rhombus is a special type of quadrilateral (a polygon with four sides) where all four sides are equal in length. It is also known as a diamond shape because of its symmetrical appearance.

In a rhombus, the diagonals are perpendicular bisectors of each other. This means that they divide the rhombus into four congruent right triangles.

Let's denote the length of one diagonal as d1 and the length of the other diagonal as d2. In this case, d1 = 18 feet and d2 = 12 feet.

Each right triangle formed by the diagonals has legs equal to half the lengths of the diagonals. Therefore, the lengths of the legs are d1/2 = 18/2 = 9 feet and d2/2 = 12/2 = 6 feet.

Using the Pythagorean theorem, we can find the length of the hypotenuse of each right triangle, which is also a side of the rhombus.

\(h^2 = (leg1)^2 + (leg2)^2\\\\h^2 = 9^2 + 6^2\\\\h^2 = 81 + 36\\\\h^2 = 117\)

Taking the square root of both sides:

h = √117

Since the rhombus has four congruent sides, the perimeter is given by:

Perimeter = 4 * h = 4 * √117

Thus, the perimeter of the rhombus is 4√117 feet.

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Answer:

3/4+x=2

x=2-(3/4)

x=(8-3)/4

x=5/4

Answer:

slope = {-5-(-3)} / {3-1} = -2/2 = -1

Answer:

a = 5

b = -4

c = -20

Step-by-step explanation:

Here, we want to express the given equation in the following form;

So we can have this as;

5x-4y-20 = 0

That means we have;

a as 5

b as -4

and c as -20

Step-by-step explanation:

1/2 + 1/4

2/4 + 1/4= 3/4

1 - 3/4 = 1/4 is left

Answer:

There is 1/4 left

Step-by-step explanation:

Find the amount of cake left.

The entire cake is 1

1-1/2 - 1/4

Get a common denominator of 4

1 *4/4 = 4/4

1/2 *2/2 = 2/4

Using the common denominator

4/4 - 2/4 - 1/4

2/4 - 1/4

1/4

There is 1/4 left

The z-score of an observation represents the number of standard deviations the observation is away from the mean.

The z-score of an observation represents the number of standard deviations the observation is away from the mean.

If the z-score for a particular observation is z = 0.4, this means that the observation is 0.4 standard deviations above the mean.

If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:

observation = μ + (z * σ)

observation = μ + (0.4 * σ)

This means that the observation is located to the right of the mean by a distance of 0.4 standard deviations.

For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.

In this case, a z-score of 0.4 indicates that the observation is 0.4 standard deviations above the mean.

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Answer:

15 hour(s) and 30 minute(s).

Step-by-step explanation:

Answer:

krkrkrl4k3?8999kekek

Step-by-step explanation:

the UK. I have been a while. I have been a while. I have been a while. I have been a while 6e5 the UK. I have been a while. I have been a while. I have

. How do we have a look at the moment. The comments for the first time in the UK. I

Answer:

-9/12

Step-by-step explanation:

y2-y1/ x2-x1

so you would subtract 4 from -5 which would equal -9 and add 2+10 (this would be because two negatives make a positive.) and that would equal 12. then you put -9 over 12 which would result as -9/12

Answer:

Yes - opposite lines are parallel

Yes - a pair of opposite liens are parallel and a pair of opposite angles are parallel

Step-by-step explanation:

a) The central 95% of all copper contents would be bounded by the values of 26.02 and 35.58.

b) The distribution of the sample mean copper content follows an approximately normal distribution with a mean of 30.8 and a standard error of \($\frac{2.45}{\sqrt{16}}\) =0.6125.

c) If we were to randomly sample 16 brake pads from this distribution, the bounding values for the central 95% of possible means would be (29.6, 32)

a) Since the copper content in sintered brake pads follows an approximately normal distribution with a mean of 30.8 and a standard deviation of 2.45, we can use the standard normal distribution to find the values that bound the central 95% of all copper contents. The 95% confidence interval corresponds to z=1.96 in the standard normal distribution. Thus, the values that bound the central 95% of all copper contents are given by:

30.8−1.96×2.45=26.02,30.8+1.96×2.45=35.58

b) The sample mean of copper content for a sample of 16 pads is also normally distributed with a mean of 30.8 and a standard deviation of \($\frac{2.45}{\sqrt{16}}=0.6125$\), which is called the standard error. The distribution of the sample mean is given by:

c) The bounding values for the central 95% of possible means can be found by using the formula:

where \($\sigma$\) is the population standard deviation, n is the sample size and \($z^*$\)is the critical value of the standard normal distribution that corresponds to a 95% confidence interval. Substituting the values, we get:

Therefore, the bounding values for the central 95% of possible means are given by:

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Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

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The required value of the function f(5) is given by when f(1) = 3.2 and f(x + 1) = Five-halves(f(x)) is given by, f(5) = 125.

Given the the function is defined as,

f(1) = 3.2

and f(x + 1) = five halves (f(x))

So, f(x + 1) = (5/2)f(x)

We have to find the value of f(5).

Substituting the value x = 1 in the function we get,

f(2) = (5/2)f(1) = (5/2)*(3.2) = 8

Substituting the value x = 2 in the function we get,

f(3) = (5/2)f(2) = (5/2)*8 = 20

Substituting the value x = 3 in the function we get,

f(4) = (5/2)f(3) = (5.2)*20 = 50

Substituting the value x = 4 in the function we get,

f(5) = (5/2)f(4) = (5/2)*50 = 125

Hence the value of f(5) is 125.

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Answer:

Rate of change is 1

Step-by-step explanation:

Well rate of change in a function is basically slope

theres 1 rise and.1 run

1/1=1

So rate of change is 1

Answer:

Step-by-step explanation:

Answer:

\(\frac{68285}{44}\) or \(1551.93181818...\)

Step-by-step explanation:

\(\frac{9755}{2(\frac{22}{7})}\\\\\)

The figure consist of triangle, rectangle and semi circle.

Determine the area of figure.

Thus area of figure is 30.3 meter square.

The equation of the tangent line is:

y = 6.

The equation of the tangent to the curve x = 4 + in t, y = t² + 6 at the point (4, 7), the value of t that corresponds to the point (4, 7).

If we substitute x = 4 + in t into the equation x = 4, we get:

4 + in t = 4

which gives us t = 0.

Substituting t = 0 into the equation for y, we get:

y = 0² + 6 = 6

The point on the curve that corresponds to the point (4, 7) is (4, 6).

Eliminating the parameter:

To eliminate the parameter t, we need to solve for t in terms of x:

x = 4 + in t

t = (x - 4) / n

Now we can substitute this expression for t into the equation for y to obtain y as a function of x:

y = [(x - 4) / n]² + 6

Next, we can take the derivative of y with respect to x and evaluate it at x = 4 to the slope of the tangent line:

y' = 2(x - 4) / n²

y'(4) = 0

So the slope of the tangent line at (4, 6) is 0.

The equation of the tangent line is:

y = 6

Without eliminating the parameter:

To find the equation of the tangent line without eliminating the parameter, we can use the formula for the tangent line at a point on a curve:

y - y0 = f'(t0) (x - x0)

where (x0, y0) is the point on the curve and f(t) is the equation for the curve.

In this case, we have x0 = 4, y0 = 6, and f(t) = t² + 6.

To find t0, we can solve x = 4 + in t for t:

t = (x - 4) / n

t0 = (4 - 4) / n = 0

Now we can find f'(t) by taking the derivative of f(t) with respect to t:

f'(t) = 2t

f'(t0) = 0

Substituting these values into the formula for the tangent line, we get:

y - 6 = 0 (x - 4)

y = 6

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The two latches make known the fact that this is an isosceles triangle. Here, x is the base angle. There are two base angles in isosceles triangles. Base angles have the same measure. This explains the reason for 2x in the equation below.

Here is the set up:

x + x + 32 = 180

2x + 32 = 180

2x = 180 - 32

2x = 148

x = 148/2

x = 74

The value of x is 74 degrees.

Answer:

15.155857

Step-by-step explanation:

I used a calculator by typing \(\sqrt{229.7}\)

Answer: Unknown...Well, just simplify.

Step-by-step explanation:

Since it says x and y, that is NOT a number. So the real question is, how can we solve the problem without numbers? Well that's pretty simple and easy. Since we don't know the number, we will just have to simplify. With no actual number, simplifying is basically the answer. Unless, you can find out the answer.

Dan has the amount of money left would be 10 - xy which is the form of an expression.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

We have to determine the amount of money Dan has left.

We must only generalize since we don't know the exact quantity. Having no method of solving,

Dan had $10. He bought x pencils, each costing y cents which are given in the question.

quantity of pencils = x and cost of pencil = y

As per the given condition, the required solution would be:

⇒ remaining amount = 10 - quantity of pencils × cost of pencil

⇒  remaining amount = 10 - (x) × (y)

⇒  remaining amount = 10 - xy

Therefore, Dan has the amount of money left would be 10 - xy which is the form of an expression.

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The critical value for an 80% confidence interval is 1.28.

To find the critical value for constructing an 80% confidence interval for the difference in two proportions, we need to use the z-table.

Step 1: Find the critical value.

Since we want an 80% confidence interval, the remaining area (1 - 0.80 = 0.20) is divided equally into the two tails. Each tail has an area of 0.10. To find the critical value, we look for the z-score that corresponds to an area of 0.10 in the standard normal distribution table.

Using the z-table or a calculator, we find that the z-score for an area of 0.10 (one tail) is approximately 1.28.

Therefore, the critical value for an 80% confidence interval is 1.28.

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Answer:

Each cookbook cost $15.15.

Step-by-step explanation:

Since the statement indicates that four cookbooks and one novel cost $68.75, you can write the following equation:

4x+y=68.75, where:

x is the price of cookbooks

y is the price of novels

Also, given that the novel cost 7 dollars less than a cookbook, you can write the following equation:

x=y+7

Now, you can replace x=y+7 in the first equation:

4(y+7)+y=68.75

4y+28+y=68.75

5y=40.75

y=40.75/5

y=8.15

Now, you can replace the value of y in x=y+7:

x=8.15+7

x=15.15

According to this, the answer is that each cookbook cost $15.15.

This should be the correct answer,
4.5×10^9x + 0.00045x

Also, some good free calculators that can help with problems like this would be c y m a t h and m a t h w a y .

The equation in standard form is x - y = 9

From the question, we have the following parameters that can be used in our computation:

Points = (8, –1) and (2, –5)

Point-slope form is y + 1 = (x – 8).

Recall that the point-slope form is y + 1 = (x – 8).

So, we have

y + 1 = (x – 8)

Open the brackets

y + 1 = x – 8

Subtract 1 from both sides

y = x - 9

Rewrite as

-x + y = -9

Multiply through by -1

x - y = 9

Hence, the equation is x - y = 9

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Answer:

y = 4/3x - 14/3

Step-by-step explanation:

y2 - y1/ x2 - x1

6 - (-2) / 8 - 2

4/3

y = 4/3x + b

-2 = 4/3(2) + b

-2 = 8/3 + b

-14/3 = b

Answer:

x=5, y=1

Step-by-step explanation:

Isolate x for 5x-3y=22

5x-3y=22

Add 3y to both sides

5x-3y+3y=22+3y

Simplify

5x=22+3y

Divide both sides by 5

5x/5=22/5+3y/5

Simplify

x=22+3y/5

Substitute  x=22+3y/5

10*22+3y/5-4y=46

Simplify 10*22+3y/5-4y

10*22+3y/5=2(3y+22)

=2(3y+22)-4y

Expand 2(3y+22)

=6y+44-4y

Simplify 6y+44-4y

=2y+44

Isolate y for 2y+44=46

2y+44=46

Subtract 44 from both sides:

2y+44-44=46-44

Simplify

2y=2

Divide both sides by 2;

2y/2=2/2

Simplify;

y=1

For x=22+3*1/5 substitute y=1

y=22+3*1/5

22+3*1=25

=25/5

Divide the numbers;25/5=5

=5

x=5

The solutions to the system of equations are;

x=5, y=1

Answer:

well ofc you can say the totally like area i think its called is 1428 you could multiply 6 to 14 the sum would be 84 you could divide 1428 by 84 and get 17 which is the value of x and if you divide 1428 by 6 on accident you would get 238 and you could check your work and see that 6 x 238 would be 1428 but that wouldnt be correct bc you only have 2 didgets and as you can your dealing with two and finding another one so that would be three didgets so ye

Step-by-step explanation:

your welcome : ))